Conservation of Angular Momentum

The Law of Conservation of Angular Momentum states that the total angular momentum of a system remains constant if no net external moment act on it, taken about the same fixed point or axis.
$\sum (H_O{)}_1=\sum (H_O{)}_2$

This is derived from the angular impulse-momentum equation when the sum of external angular impulses acting on a system is zero.

If a particle experiences forces only pointing towards $O$, the angular impulse of $F$ about $O$ is always zero, and angular momentum of the particle about $O$ is conserved.

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